

A195664


Array read by antidiagonals: Consecutive finite permutations of nonnegative integers in reverse colexicographic order.


4



0, 1, 1, 2, 0, 0, 3, 2, 2, 2, 4, 3, 1, 0, 1, 5, 4, 3, 1, 2, 2, 6, 5, 4, 3, 0, 1, 0, 7, 6, 5, 4, 3, 0, 1, 1, 8, 7, 6, 5, 4, 3, 3, 0, 0, 9, 8, 7, 6, 5, 4, 2, 3, 3, 3, 10, 9, 8, 7, 6, 5, 4, 2, 1, 0, 1, 11, 10, 9, 8, 7, 6, 5, 4, 2, 1, 3, 3, 12, 11, 10, 9, 8, 7, 6, 5, 4, 2, 0, 1, 0, 13, 12, 11, 10, 9, 8, 7, 6, 5, 4, 2, 0, 2, 2
(list;
table;
graph;
refs;
listen;
history;
text;
internal format)



OFFSET

0,4


COMMENTS

Row n is the nth finite permutation of {0,1,2,3...}.


LINKS

Tilman Piesk, Table of n, a(n) for n = 0..7259
Tilman Piesk, Detailed table of the 24 permutations of 1...4 (A195663)
Tilman Piesk, Table of the 40320 permutations of 1...8, a supporting file of A198380
OEISWiki, Orderings section rev colex


FORMULA

a(n) = A195663(n)1.


EXAMPLE

The first 24 permutations of nonnegative integers in rev colex order:
00 > 0 1 2 3 4 5 6 7 ...
01 > 1 0 2 3 ...
02 > 0 2 1 3 ...
03 > 2 0 1 3 ...
04 > 1 2 0 3 ...
05 > 2 1 0 3 ...
06 > 0 1 3 2 ...
07 > 1 0 3 2 ...
08 > 0 3 1 2 ...
09 > 3 0 1 2 ...
10 > 1 3 0 2 ...
11 > 3 1 0 2 ...
12 > 0 2 3 1 ...
13 > 2 0 3 1 ...
14 > 0 3 2 1 ...
15 > 3 0 2 1 ...
16 > 2 3 0 1 ...
17 > 3 2 0 1 ...
18 > 1 2 3 0 ...
19 > 2 1 3 0 ...
20 > 1 3 2 0 ...
21 > 3 1 2 0 ...
22 > 2 3 1 0 ...
23 > 3 2 1 0 ...


CROSSREFS

Cf. A195663 (same for positive integers, so all entries are bigger by 1).
Sequence in context: A099026 A341410 A205341 * A053202 A188122 A341841
Adjacent sequences: A195661 A195662 A195663 * A195665 A195666 A195667


KEYWORD

nonn,tabl


AUTHOR

Tilman Piesk, Sep 22 2011


STATUS

approved



